(a) Explanation Given: The frequency of occurrence of the Alzheimer's disease (as percentage) is given by, f ( t ) = 0.71 e 0.7 t ( 1 ≤ t ≤ 5 ) (1) Where t is measured in 5-year intervals, with t = 1 corresponding to an age of 70 years Calculation : Since 5-year interval is taken; For 70 year old, t = 1 , For 75 year old, t = 2 , For 80 year old t = 3 , For 85 year old t = 4 , For 90 year old t = 5 . Substitute 1 for t in equation (1), to calculate the frequency of occurrence the Alzheimer's disease for 70-year-old people (b) To determine To show: f is increasing on the interval ( 1 , 5 ) and to interpret the results. (c) To determine To show: The function f is concave upward on the interval ( 1 , 5 ) and to interpret the results.

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 5.4, Problem 65E

(a)

To determine

The frequency of occurrence of Alzheimer's disease for 70-year-old people and for 90-year-old people.

(b)

To determine

To show: f is increasing on the interval (1,5) and to interpret the results.

(c)

To determine

To show: The function f is concave upward on the interval (1,5) and to interpret the results.

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Chapter 5.4, Problem 64E

Chapter 5.4, Problem 66E

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Chapter 5 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

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The frequency of occurrence of Alzheimer's disease for 70-year-old people and for 90-year-old people.

Solution Summary: The author calculates the frequency of occurrence of Alzheimer's disease for 70- and 90-year-old people.

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The frequency of occurrence of Alzheimer's disease for 70-year-old people and for 90-year-old people.

To show: f is increasing on the interval (1,5) and to interpret the results.

To show: The function f is concave upward on the interval (1,5) and to interpret the results.

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